167.37/42.76	YES
167.37/42.77	
167.37/42.77	Problem:
167.37/42.77	 a(a(b(x1))) -> b(b(c(a(a(a(x1))))))
167.37/42.77	 b(c(a(x1))) -> x1
167.37/42.77	
167.37/42.77	Proof:
167.37/42.77	 String Reversal Processor:
167.37/42.77	  b(a(a(x1))) -> a(a(a(c(b(b(x1))))))
167.37/42.77	  a(c(b(x1))) -> x1
167.37/42.77	  DP Processor:
167.37/42.77	   DPs:
167.37/42.77	    b#(a(a(x1))) -> b#(x1)
167.37/42.77	    b#(a(a(x1))) -> b#(b(x1))
167.37/42.77	    b#(a(a(x1))) -> a#(c(b(b(x1))))
167.37/42.77	    b#(a(a(x1))) -> a#(a(c(b(b(x1)))))
167.37/42.77	    b#(a(a(x1))) -> a#(a(a(c(b(b(x1))))))
167.37/42.77	   TRS:
167.37/42.77	    b(a(a(x1))) -> a(a(a(c(b(b(x1))))))
167.37/42.77	    a(c(b(x1))) -> x1
167.37/42.77	   TDG Processor:
167.37/42.77	    DPs:
167.37/42.77	     b#(a(a(x1))) -> b#(x1)
167.37/42.77	     b#(a(a(x1))) -> b#(b(x1))
167.37/42.77	     b#(a(a(x1))) -> a#(c(b(b(x1))))
167.37/42.77	     b#(a(a(x1))) -> a#(a(c(b(b(x1)))))
167.37/42.77	     b#(a(a(x1))) -> a#(a(a(c(b(b(x1))))))
167.37/42.77	    TRS:
167.37/42.77	     b(a(a(x1))) -> a(a(a(c(b(b(x1))))))
167.37/42.77	     a(c(b(x1))) -> x1
167.37/42.77	    graph:
167.37/42.77	     b#(a(a(x1))) -> b#(b(x1)) -> b#(a(a(x1))) -> a#(a(a(c(b(b(x1))))))
167.37/42.77	     b#(a(a(x1))) -> b#(b(x1)) -> b#(a(a(x1))) -> a#(a(c(b(b(x1)))))
167.37/42.77	     b#(a(a(x1))) -> b#(b(x1)) -> b#(a(a(x1))) -> a#(c(b(b(x1))))
167.37/42.77	     b#(a(a(x1))) -> b#(b(x1)) -> b#(a(a(x1))) -> b#(b(x1))
167.37/42.77	     b#(a(a(x1))) -> b#(b(x1)) -> b#(a(a(x1))) -> b#(x1)
167.37/42.77	     b#(a(a(x1))) -> b#(x1) -> b#(a(a(x1))) -> a#(a(a(c(b(b(x1))))))
167.37/42.77	     b#(a(a(x1))) -> b#(x1) -> b#(a(a(x1))) -> a#(a(c(b(b(x1)))))
167.37/42.77	     b#(a(a(x1))) -> b#(x1) -> b#(a(a(x1))) -> a#(c(b(b(x1))))
167.37/42.77	     b#(a(a(x1))) -> b#(x1) -> b#(a(a(x1))) -> b#(b(x1))
167.37/42.77	     b#(a(a(x1))) -> b#(x1) -> b#(a(a(x1))) -> b#(x1)
167.37/42.77	    SCC Processor:
167.37/42.77	     #sccs: 1
167.37/42.77	     #rules: 2
167.37/42.77	     #arcs: 10/25
167.37/42.77	     DPs:
167.37/42.77	      b#(a(a(x1))) -> b#(b(x1))
167.37/42.77	      b#(a(a(x1))) -> b#(x1)
167.37/42.77	     TRS:
167.37/42.77	      b(a(a(x1))) -> a(a(a(c(b(b(x1))))))
167.37/42.77	      a(c(b(x1))) -> x1
167.37/42.77	     Arctic Interpretation Processor:
167.37/42.77	      dimension: 1
167.37/42.77	      usable rules:
167.37/42.77	       b(a(a(x1))) -> a(a(a(c(b(b(x1))))))
167.37/42.77	       a(c(b(x1))) -> x1
167.37/42.77	      interpretation:
167.37/42.77	       [b#](x0) = x0 + 0,
167.37/42.77	       
167.37/42.77	       [c](x0) = -2x0 + 0,
167.37/42.77	       
167.37/42.77	       [a](x0) = 1x0 + 1,
167.37/42.77	       
167.37/42.77	       [b](x0) = 1x0
167.37/42.77	      orientation:
167.37/42.77	       b#(a(a(x1))) = 2x1 + 2 >= 1x1 + 0 = b#(b(x1))
167.37/42.77	       
167.37/42.77	       b#(a(a(x1))) = 2x1 + 2 >= x1 + 0 = b#(x1)
167.37/42.77	       
167.37/42.77	       b(a(a(x1))) = 3x1 + 3 >= 3x1 + 3 = a(a(a(c(b(b(x1))))))
167.37/42.77	       
167.37/42.77	       a(c(b(x1))) = x1 + 1 >= x1 = x1
167.37/42.77	      problem:
167.37/42.77	       DPs:
167.37/42.77	        
167.37/42.77	       TRS:
167.37/42.77	        b(a(a(x1))) -> a(a(a(c(b(b(x1))))))
167.37/42.77	        a(c(b(x1))) -> x1
167.37/42.77	      Qed
167.37/42.77	EOF